Converting statsmodels summary object to Pandas Dataframe

I am doing multiple linear regression with statsmodels.formula.api (ver 0.9.0) on Windows 10. After fitting the model and getting the summary with following lines i get summary in summary object format.

X_opt  = X[:, [0,1,2,3]]
regressor_OLS = sm.OLS(endog= y, exog= X_opt).fit()
regressor_OLS.summary()


                          OLS Regression Results                            
==============================================================================
Dep. Variable:                      y   R-squared:                       0.951
Model:                            OLS   Adj. R-squared:                  0.948
Method:                 Least Squares   F-statistic:                     296.0
Date:                Wed, 08 Aug 2018   Prob (F-statistic):           4.53e-30
Time:                        00:46:48   Log-Likelihood:                -525.39
No. Observations:                  50   AIC:                             1059.
Df Residuals:                      46   BIC:                             1066.
Df Model:                           3                                         
Covariance Type:            nonrobust                                         
==============================================================================
                 coef    std err          t      P>|t|      [0.025      0.975]
------------------------------------------------------------------------------
const       5.012e+04   6572.353      7.626      0.000    3.69e+04    6.34e+04
x1             0.8057      0.045     17.846      0.000       0.715       0.897
x2            -0.0268      0.051     -0.526      0.602      -0.130       0.076
x3             0.0272      0.016      1.655      0.105      -0.006       0.060
==============================================================================
Omnibus:                       14.838   Durbin-Watson:                   1.282
Prob(Omnibus):                  0.001   Jarque-Bera (JB):               21.442
Skew:                          -0.949   Prob(JB):                     2.21e-05
Kurtosis:                       5.586   Cond. No.                     1.40e+06
==============================================================================

I want to do backward elimination for P values for significance level 0.05. For this i need to remove the predictor with highest P values and run the code again.

I wanted to know if there is a way to extract the P values from the summary object, so that i can run a loop with conditional statement and find the significant variables without repeating the steps manually.

Thank you.

The answer from @Michael B works well, but requires "recreating" the table. The table itself is actually directly available from the summary().tables attribute. Each table in this attribute (which is a list of tables) is a SimpleTable, which has methods for outputting different formats. We can then read any of those formats back as a pd.DataFrame:

import statsmodels.api as sm

model = sm.OLS(y,x)
results = model.fit()
results_summary = results.summary()

# Note that tables is a list. The table at index 1 is the "core" table. Additionally, read_html puts dfs in a list, so we want index 0
results_as_html = results_summary.tables[1].as_html()
pd.read_html(results_as_html, header=0, index_col=0)[0]

An easy solution is just one line of code:

LRresult = (result.summary2().tables[1])

As ZaxR mentioned in the following comment, Summary2 is not yet considered stable, while it works well with Summary too. So this could be correct answer:

LRresult = (result.summary().tables[1])

This will give you a dataframe object:

type(LRresult)

pandas.core.frame.DataFrame

To get the significant variables and run the test again:

newlist = list(LRresult[LRresult['P>|z|']<=0.05].index)[1:]
myform1 = 'binary_Target' + ' ~ ' + ' + '.join(newlist)

M1_test2 = smf.logit(formula=myform1,data=myM1_1)

result2 = M1_test2.fit(maxiter=200)
LRresult2 = (result2.summary2().tables[1])
LRresult2